Cohomology of $T^{2} \times \mathbb{R}^{2}$

Question

I need to find the cohomology groups $H^{k}_{dR}$ of $T^{2} \times \mathbb{R}^{2}$ (where by $T^{2}$ I mean the two-torus).

I would like to use the Mayer Vietoris sequence. Any advice on which open subsets $U$ and $V$ (whose union covers the manifold) I should choose?

Thank you in advance.